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Finding the Third Proportional to 149,960 and 313,684

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Solution

The third proportional to 149,960 and 313,684 is: 656,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,960 : 313,684 = 313,684 : x
  2. Step 2: Convert to fraction form
    149,960/313,684 = 313,684/x
  3. Step 3: Cross multiply
    149,960x = 313,684 × 313,684
  4. Step 4: Simplify right side
    149,960x = 98,397,651,856
  5. Step 5: Solve for x
    x = 98,397,651,856/149,960
  6. Step 6: Final answer
    x = 656,159.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.